subject to r1:  p1>=0.85+p2;
subject to r2:  p1<=0.95;
subject to r3:  p2<=0.10;
subject to r4:  p3>=0.85+p4;
subject to r5:  p3<=0.95;
subject to r6:  p4<=0.10;
subject to r7: p1>=0.000001;
subject to r8: p2>=0.000001;
subject to r9: p3>=0.000001;
subject to r10: p4>=0.000001;
